Similarly, we can write the least squares formulae for the split flux derivatives of \(Gy^{\pm }\) . Finally, the state-update formula for steady flow problems can be constructed by replacing the pseudo-time derivative in eq. (REF ) with a suitable discrete approximation and local time stepping. In the present work, the solution is updated using a four-stage third-order Runge-Kutta (SSP-RK3) [1]} time marching algorithm.
